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Finding the Fourth Proportional to 542,563.90, 814,234.65 and 305,655.10

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Solution

The fourth proportional to 542,563.90, 814,234.65 and 305,655.10 is: 458,701.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,563.90 : 814,234.65 = 305,655.10 : x
  2. Step 2: Convert to fraction form
    542,563.90/814,234.65 = 305,655.10/x
  3. Step 3: Cross multiply
    542,563.90x = 814,234.65 × 305,655.10
  4. Step 4: Simplify right side
    542,563.90x = 248,874,973,369.22
  5. Step 5: Solve for x
    x = 248,874,973,369.22/542,563.90
  6. Step 6: Final answer
    x = 458,701.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.